Search a number
-
+
113113137774 = 23713617346523
BaseRepresentation
bin110100101011000010…
…0011000001001101110
3101210222001022202120010
41221112010120021232
53323123430402044
6123544035034050
711113022543610
oct1512604301156
9353861282503
10113113137774
1143a7546564a
1219b0943b926
13a888474a70
14569083adb0
152e20588bb9
hex1a5611826e

113113137774 has 128 divisors (see below), whose sum is σ = 286879638528. Its totient is φ = 28940405760.

The previous prime is 113113137743. The next prime is 113113137859. The reversal of 113113137774 is 477731311311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2408077 + ... + 2454599.

It is an arithmetic number, because the mean of its divisors is an integer number (2241247176).

Almost surely, 2113113137774 is an apocalyptic number.

113113137774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113113137774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143439819264).

113113137774 is an abundant number, since it is smaller than the sum of its proper divisors (173766500754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113113137774 is a wasteful number, since it uses less digits than its factorization.

113113137774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46682.

The product of its digits is 37044, while the sum is 39.

The spelling of 113113137774 in words is "one hundred thirteen billion, one hundred thirteen million, one hundred thirty-seven thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 73 78 91 122 146 182 183 219 273 366 427 438 511 546 793 854 949 1022 1281 1533 1586 1898 2379 2562 2847 3066 4453 4758 5551 5694 6643 8906 11102 13286 13359 16653 19929 26718 31171 33306 39858 46523 57889 62342 93046 93513 115778 139569 173667 187026 279138 325661 347334 405223 604799 651322 810446 976983 1209598 1215669 1814397 1953966 2431338 2837903 3396179 3628794 4233593 5675806 6792358 8467186 8513709 10188537 12700779 17027418 19865321 20377074 23773253 25401558 36892739 39730642 44150327 47546506 59595963 71319759 73785478 88300654 110678217 119191926 132450981 142639518 207166919 221356434 258249173 264901962 309052289 414333838 516498346 618104578 621500757 774747519 927156867 1243001514 1450168433 1549495038 1854313734 2693169947 2900336866 4350505299 5386339894 8079509841 8701010598 16159019682 18852189629 37704379258 56556568887 113113137774